Michael Tsatsomeros
(Μιχáλης Τσατσóμοιρος)Professor
Office: Neill Hall 229
Phone: (509) 335-3144
Fax: (509) 335-1188
Email: tsat at wsu.edu
Quick links:
[PUBLICATIONS]
[PRESENTATIONS]
[MATLAB DEPOT]
[INTERNATIONAL LINEAR ALGEBRA SOCIETY]
[WSU COUGARS SPORTS]
Education
- Ph.D., Mathematics, University
of Connecticut - 1990
Supervisor: Michael Neumann (In Memoriam)
- M.Sc., Mathematics, Concordia
University, Montreal - 1986
Supervisor: Ronald J. Stern - Here's a copy of my thesis - Diploma, Mathematics, University of Patras, Greece - 1984
Research Interests
Linear algebra, matrix analysis, especially the theory of nonnegative matrices and their generalizations. Particular interests include the numerical range; graphs and patterns associated with matrices; numerical linear algebra; applications in dynamical systems, control theory, data analysis, machine learning and artificial intelligence.
Work Experience
- 2007 - present, Professor, Washington State University, Pullman, WA
- 2001-07, Associate Professor, Washington State University
- 1997-2002, Associate Professor, University of Regina, Saskatchewan, Canada
- 1994-97, Assistant Professor, University of Regina
- 1993-94, Adjunct Assistant Professor, University of Regina
- 1993, Visiting Assistant Professor, College of William and Mary, Williamsburg, VA
- 1992, Visiting Assistant Professor, University of Wisconsin, Madison, WI
- 1990-92, Post-doctoral Fellow, University of Victoria, British Columbia, Canada
Supervision
Current students:- Seong Park, Jesse Lopez, Ben Clark, Allison Roberson, Samir Mondal (IITM)
- Wail Alahmadi (Ph.D. 2023)
Thesis tittle: Convex Sets of Stable Matrices - Sushmitha Parameswaran (co-Chair, Ph.D., IIT Madras, 2021)
Thesis title: On Some Generalizations of the Class of Q-Matrices - Hung Le (Ph.D. 2020)
Thesis title: Matrix Analysis Primer for Inhomogeneous Markov Chains - Faith Zhang (Ph.D., 2020)
Thesis title: Rank One Perturbations and Applications - Megan Wendler (Ph.D., 2020)
Thesis title: Semimonotone Matrices - Patrick Torres (Ph.D., 2018)
Thesis title: Stability Analysis, Convex Hulls of Matrix Powers and Their Relations to P-matrices - Michael Kasigwa (Ph.D., 2017)
Thesis title: Eventual Cone Invariance - Thomas Cameron (Ph.D., 2016)
Thesis title: On the Computation of Eigenvalues, Spectral Bounds and Hessenberg Form of Matrix Polynomials - Pietro Paparella (Ph.D., 2013)
Thesis title: Matrix Roots of Nonnegative and Eventually Nonnegative Matrices - Jimmy Burk (Ph.D., 2012)
Thesis title: Eigenspaces of Tournament Matrices - Kent Griffin (Ph.D., 2006)
Thesis title: Solving the Principal Minor Assignment Problem and Related Computations - Bishan Li (Ph.D., 1998)
Thesis title: Generalizations of Diagonal Dominance in Matrix Theory
- Fei Zhou (Post-doctoral fellow, 2006)
- Panos Psarrakos
(Post-doctoral fellow, 2000)
Currently: Professor, Mathematics, National Technical University of Athens - Mark Krupnik (Post-doctoral fellow, 1994-1995)
Currently: Retalon, Inc (inventory management and forecasting tools), Co-founder and President
Grants/Awards
- Excellence in Graduate Advising and Mentoring, College of Arts and Sciences, WSU, 2021
- SPARC Indian Institure of Technology-Madras Collaboration Grant, 2019-2021
- Outstanding Research Award, Mathematics, WSU, 2007
- Catalyzing the Future Award, WSU, 2003
- NSERC Research Grants: 1994-1997, 1997-2001, 2001-2002
- NSERC Equipment Grants: 1994, 1996, 2001
- Merit Awards, Univ. of Regina, 1996, 1999
Publications (in reverse chronological order)
-
Samir Mondal, K.C. Sivakumar and M.J. Tsatsomeros.
New Results on M-matrices, H-matrices and their Inverse Classes.
Electronic Journal of Linear Algebra, 38:729-744, 2022. -
Hung V. Le and M.J. Tsatsomeros
Matrix Analysis for Continuous-Time Markov Chains.
Special Matrices, 10:219-233, 2022. -
Michael J. Tsatsomeros and Yueqiao Faith Zhang.
Recursive Rank One Perturbations for Pole Placement and Cone Reachability.
Applied Mathematics and Computation, Vol. 416, Issue C, March 2022. -
K.C. Sivakumar, P. Sushmitha and M.J. Tsatsomeros.
Q#-Matrices and Q†-Matrices: Two Extensions of the Q-Matrix Concept.
Linear and Multilinear Algebra, 70(21):6947-6964, 2022. -
Michael J. Tsatsomeros and Yueqiao Faith Zhang.
The Fiber of P-matrices: The Recursive Construction of All Matrices with Positive Principal Minors.
Linear and Multilinear Algebra, 69:224-232, 2021. -
J.J. McDonald, R. Nandi, K.C. Sivakumar, P. Sushmitha, M.J. Tsatsomeros, Enzo Wendler, and Megan Wendler.
M-matrix and Inverse M-matrix Extensions.
Special Matrices, 8:186-203, 2020. -
Charles R. Johnson, Ronald L.Smith, and Michael J. Tsatsomeros.
Matrix Positivity. Cambridge University Press, 2020. -
Projesh Nath Choudhury and Michael J. Tsatsomeros.
Algorithmic Detection and Construction of N-matrices.
Linear Algebra and Its Applications, 602:46-56, 2020. -
Michael J. Tsatsomeros and Megan Wendler.
Semimonotone Matrices.
Linear Algebra and Its Applications, 578:207-224, 2019. -
P.K. Torres and M.J. Tsatsomeros.
Stability and Convex Hulls of Matrix Powers.
Linear and Multilinear Algebra, 66(4):769-775, 2018. -
K.C. Sivakumar and M.J. Tsatsomeros.
Semipositive Matrices and Their Semipositive Cones.
Positivity, 22(1):379-398, 2018. -
Ik-Pyo Kim and M.J. Tsatsomeros.
Inverse Relations in Shapiro's Open Questions
Discrete Mathematics, 341:691-700, 2018. -
Ik-Pyo Kim and M.J. Tsatsomeros.
Pascal Eigenspaces and Invariant Sequences of the First or Second Kind.
Linear Algebra and its Applications, 535:171-190, 2017. -
Aik. Aretaki, P. Psarrakos, and M. Tsatsomeros.
The Envelope of Tridiagonal Toeplitz Matrices and Block-Shift Matrices.
Linear Algebra and its Applications, 532:60-85, 2017. -
M. Kasigwa and M.J. Tsatsomeros.
Eventual Cone Invariance.
Electronic Journal of Linear Algebra, 32:204-216, 2017. -
M.J. Tsatsomeros.
Geometric Mapping Properties of Semipositive Matrices.
Linear Algebra and its Applications, 498:349-359, 2016. -
P. Psarrakos and M.J. Tsatsomeros.
On the Geometry of the Envelope of a Matrix.
Applied Mathematics and Computation, 244:132-141, 2014. -
J.J. McDonald, P. Paparella, and M.J. Tsatsomeros.
Matrix Roots of Eventually Positive Matrices.
Linear Algebra and its Applications, 456:122-137, 2014. -
M. Cavers, S.M. Cioaba, S. Fallat, D.A. Gregory, W. Haemers, S.J. Kirkland, J.J.
McDonald, and M. Tsatsomeros.
Skew-Adjency Matrices of Graphs.
Linear Algebra and its Applications, 436:512-4529, 2012. -
D.D. Olesky, M.J. Tsatsomeros, and P. van den Driessche.
Sign Patterns with a Nest of Positive Principal Minors.
Linear Algebra and its Applications, 436:4392-4399, 2012. -
J. Burk and M.J. Tsatsomeros.
On the Brualdi-Li Matrix and its Perron Eigenspace.
Electronic Journal of Linear Algebra, 23:212-230, 2012. -
P. Psarrakos and M.J. Tsatsomeros.
An Envelope for the Spectrum of a Matrix.
Central European Journal of Mathematics, 10:292-302, 2012. -
Michael Tsatsomeros.
In Memoriam: Michael (Miki) Neumann (1946-2011).
Linear Algebra and its Applications, 436:1-11, 2012. -
George Psarrakos and Michael Tsatsomeros.
Ratio Monotonicity for Tail Probabilities in the Renewal Risk Model.
Probability in the Engineering and Informational Sciences., 25:171-185, 2011. -
A. Berman, M. Catral, L.M. DeAlba, A. Elhashash, F.J. Hall, L. Hogben, I.-J. Kim,
D.D. Olesky, P. Tarazaga, M.J. Tsatsomeros, P. van den Driessche.
Sign Patterns that Allow Eventual Positivity
Electronic Journal of Linear Algebra, 19:108-120, 2009/2010. -
E. Ellison, L. Hogben, and M. Tsatsomeros.
Sign Patterns that Require Eventual Positivity or Require Eventual Nonnegativity.
Electronic Journal of Linear Algebra, 19:98-107, 2009/2010. -
D.D. Olesky, M.J. Tsatsomeros, and P. van den Driessche.
Mv - Matrices : A Generalization of M-matrices Based on Eventually Nonnegative Matrices.
Electronic Journal of Linear Algebra, 18:339-351, 2009. -
D. Noutsos and M. Tsatsomeros.
On the Numerical Characterization of the Reachability Cone for an Essentially Nonnegative Matrix.
Linear Algebra and its Applications, 430(4):1350-1363, 2009. -
K. Griffin, J. Stuart, and M. Tsatsomeros.
Noncirculant Toeplitz Matrices All of Whose Powers are Toeplitz.
Chzechoslovak Mathematical Journal, 58(4):1185-1193, 2008. -
D. Noutsos and M.J. Tsatsomeros.
Reachability and Holdability of Nonnegative States
SIAM Journal on Matrix Analysis and Applications, 30(2):700-712, 2008. -
O. Slyusareva and M. Tsatsomeros.
Mapping and Preserver Properties of the Principal Pivot Transform.
Linear and Multilinear Algebra, 56(3):279-292, 2008. - K. Griffin and M. Tsatsomeros.
Principal Minors, Part I: A Method for Computing All the Principal Minors of a Matrix.
Linear Algebra and its Applications, 419:107-124, 2006. - K. Griffin and M. Tsatsomeros.
Principal Minors, Part II: The Principal Minor Assignment Problem.
Linear Algebra and its Applications, 419:125-171, 2006.The software associated with the above two papers can be found here.
- M. Adam and M.J Tsatsomeros.
An Eigenvalue Inequality and Spectrum Localization fo Complex Matrices.
Electronic Journal of Linear Algebra, 15:239-250, 2006. - P. Psarrakos and M. Tsatsomeros.
Bounds for Levinger's Function of Nonnegative Almost Skew-symmetric Matrices.
Linear Algebra and its Applications, 416:759-772, 2006. - R.Edwards, J.J. McDonald, and M.J. Tsatsomeros.
On Matrices with Common Invariant Cones with Applications to Neural and Gene Networks.
Linear Algebra and its Applications, 398:37-67, 2005. - V. Monov and M. Tsatsomeros.
On Reducing and Deflating Subspaces of Matrices.
Electronic Journal of Linear Algebra, 11 : 246-257, 2004. - P.J. Psarrakos and M.J. Tsatsomeros.
A Primer of Perron-Frobenius Theory for Matrix Polynomials.
Linear Algebra and its Applications, 393:333-352, 2004. - V. Monov and M. Tsatsomeros.
A Criterion for Reducibility of Matrices.
Cybernetics and Information Technologies, 4(2):60--68, 2004.
- J.J. McDonald, P.J. Psarrakos and M.J. Tsatsomeros.
Almost Skew-Symmetric Matrices.
Rocky Mountain Journal of Mathematics, 34:269-288, 2004. - M. Tsatsomeros.
Generating and Detecting Matrices with Positive Principal Minors.
In Focus on Computational Neurobiology, Lei Li, Editor, pp. 115-132, Nova Science, New York, 2004. - P.J. Psarrakos and M.J. Tsatsomeros.
The Perron Eigenspace of Nonnegative Almost Skew-Symmetric Matrices and Levinger's Transformation.
Linear Algebra and its Applications, 360:43-57, 2003. - J.J. McDonald, D.D. Olesky,
M.J. Tsatsomeros, and P. van den Driessche.
On the Spectra of Striped Sign Patterns.
Linear and Multilinear Algebra, 51:39-48, 2003. - P.J. Psarrakos and M.J. Tsatsomeros.
Numerical Range: (in) a Matrix Nutshell, Parts 1 / 2.
Mathematical Notes from Washington State University, Vol 45, No. 2, 2002 / Vol 46, No. 1, 2003. - S.M. Fallat and M.J Tsatsomeros.
On the Cayley Transform of Positivity Classes of Matrices.
Electronic Journal of Linear Algebra, 9:190-196, 2002. - P.J. Psarrakos and M.J. Tsatsomeros.
On the Stability Radius of Matrix Polynomials.
Linear and Multilinear Algebra, 50 : 151-165, 2002. - J. Maroulas, P.J. Psarrakos, and M.J. Tsatsomeros.
Perron-Frobenius Type Results on the Numerical Range.
Linear Algebra and its Applications, 348 : 49-62, 2002. - S. Kirkland, P.J. Psarrakos, and M.J. Tsatsomeros.
On the Location of the Spectrum of Hypertournament Matrices.
Linear Algebra and its Applications, 323 : 37-49, 2001. - M. Tsatsomeros.
A Criterion for the Existence of Common Invariant Subspaces of Matrices.
Linear Algebra and its Applications, 322 : 51-59, 2001. - T. Myers and M. Tsatsomeros.
Potash Crystallization.
Report in the Proceedings of the 1st Prairie Industrial Problem Solving Workshop,
August 7-11, 2000, Brandon, Manitoba. - J. Maroulas, P.J. Psarrakos, and M.J. Tsatsomeros.
Separable Characteristic Polynomials of Pencils and Property L.
Electronic Journal of Linear Algebra, 7 : 182-190, 2000. - G.Y. Lee, J.J. McDonald, B.L. Shader, and M.J. Tsatsomeros.
Extremal Properties of Ray-nonsingular Matrices.
Discrete Mathematics, 216 : 221-233, 2000. - M. Tsatsomeros.
Principal Pivot Transforms: Properties and Applications.
Linear Algebra and its Applications, 307 : 151-165, 2000. - M. Tsatsomeros and L. Li.
A Recursive Test for P-Matrices.
BIT Numerical Mathematics, 40(2) : 410-414, 2000. - P. J. Psarrakos and M. J. Tsatsomeros.
On the Relation Between the Numerical Range and the Joint Numerical Range of Matrix Polynomials.
Electronic Journal of Linear Algebra, 6 : 20-30, 2000. - L. Han, M. Neumann, and M. Tsatsomeros.
Spectral Radii of Fixed Frobenius Norm Perturbations of Nonnegative Matrices.
SIAM Journal on Matrix Analysis and Applications, 21 : 79-92, 1999. - J.J. McDonald, R. Nabben, M. Neumann, H. Schneider, and M. Tsatsomeros.
Inverse Tridiagonal Z-Matrices.
Linear and Multilinear Algebra, 45 : 75-97, 1998. - J.J. McDonald, D.D. Olesky, H. Schneider, M.J. Tsatsomeros,
and P. van den Driessche.
Z-Pencils.
Electronic Journal of Linear Algebra, 4 : 32-38, 1998. - M. Tsatsomeros.
Sign Controllability: Sign Patterns That Require Complete Controllability.
SIAM Journal on Matrix Analysis and Applications, 19 : 355-364, 1998.- B. Li, L. Li, M. Harada, H. Niki, and M. Tsatsomeros.
An Iterative Criterion for H-matrices.
Linear Algebra and Its Applications, 271 : 179-190, 1998. - B. Li, L. Li, M. Harada, H. Niki, and M. Tsatsomeros.
- J.J. McDonald, D.D. Olesky, M. Tsatsomeros, and P. van den Driessche.
Ray Patterns of Matrices and Nonsingularity.
Linear Algebra and its Applications, 267 : 359-373, 1997. - B. Li and M. Tsatsomeros.
Doubly Diagonally Dominant Matrices.
Linear Algebra and its Applications, 261 : 221-235, 1997. - S. Kirkland, J.J. McDonald, and M. Tsatsomeros.
Sign Patterns that Require Positive Eigenvalues.
Linear and Multilinear Algebra, 41 : 199-210, 1996. - J.J. McDonald, M. Neumann, H. Schneider, and M. Tsatsomeros.
Inverses of Unipathic M-Matrices.
SIAM Journal on Matrix Analysis and Applications, 17 : 1025-1036, 1996. - C.R. Johnson, M. Neumann, and M. Tsatsomeros.
Conditions for the Positivity of Determinants.
Linear and Multilinear Algebra, 40 : 241-248, 1996. - C.R. Johnson and M. Tsatsomeros.
Convex Sets of Nonsingular and P-Matrices.
I>Linear and Multilinear Algebra, 38 : 233-239, 1995. - J.J. McDonald, M. Neumann, H. Schneider, and M. Tsatsomeros.
Inverse M-Matrix Inequalities and Generalized Ultrametric Matrices.
Linear Algebra and its Applications, 220 : 321-341, 1995. - C.R. Johnson, D.D. Olesky, M. Tsatsomeros, and P. van den Driessche.
An Identity for the Determinant.
Linear and Multilinear Algebra, 36 : 189-194, 1994. - D.D. Olesky, M. Tsatsomeros, and P. van den Driessche.
Qualitative Controllability and Uncontrollability by a Single Entry.
Linear Algebra and its Applications, 187 : 183-194, 1993. - M. Tsatsomeros, J.S. Maybee, D.D. Olesky, and P. van den Driessche.
Nullspaces of Matrices and Their Compounds.
Linear and Multilinear Algebra, 34 : 291-300, 1993. - C.R. Johnson, D.D. Olesky, M. Tsatsomeros, and P. van den Driessche.
Spectra with Positive Elementary Symmetric Functions.
Linear Algebra and its Applications, 180 : 247-262, 1993. - J.S. Maybee, D.D. Olesky, M. Tsatsomeros, and P. van den Driessche.
Combinatorial Eigenvalues of Matrices.
Linear Algebra and its Applications, 175 : 213-224, 1992. - M. Neumann and M. Tsatsomeros.
Symbiosis Points for Linear Differential Systems.
Linear and Multilinear Algebra, 30 : 49-59, 1991. [References] - M. Neumann, R.J. Stern, and M. Tsatsomeros.
The Reachability Cones of Essentially Nonnegative Matrices.
Linear and Multilinear Algebra, 28 : 213-224, 1991. [References] - R.J. Stern and M. Tsatsomeros.
Extended M-Matrices and Subtangentiality.
Linear Algebra and its Applications, 97 : 1-11, 1987.
Selected Presentations
- Envelope: Localizaton of the Spectrum of a Matrix Envelope: Localization of the Spectrum of a Matrix (NASCA, Kalamata 2018)
- Lecture notes on P-matrices (GIAN Course, Indian Institute of Technology - Madras, 2017)
- Perron-Frobenius Theory and Positivity in Linear Algebra (in honour of Hans Schneider) (ALA, Novi Sad 2010)
- Spectrum localization for almost skew-symmetric matrices (BIRS, Banff 2003)
- Generating and detecting matrices with positive principal minors (ILAS, Auburn 2002)
- Since Ancient Greece (A power point presentation on two "modern" era Greek mathematicians)
Current Editorship
- Advisory Editor (past Co-Editor-In-Chief) of Electronic Journal of Linear Algebra
- Associate Editor of Linear Algebra and its Applications
Special Editor
- Linear Algebra and
its Applications, Vol 341, Issues 1-3,
pp. 1-420, 2002
Dedicated to Tsuyoshi Ando in recognition of his 70th birthday. - Linear Algebra and
its Applications, Vol. 393, pp. 1-432, 2004.
Dedicated to Positivity in Linear Algebra. - Linear Algebra and
its Applications. Vol. 409, pp. 1-187, 2005.
Dedicated to Pauline van den Driessche. -
Electronic Journal of Linear Algebra
,
Vol. 19, pp. 1-140, 2009/2010.
On the occasion of the AIM workshop Nonnegative Matrix Theory: Generalizations and Applications. -
Linear Algebra and
its Applications.
Vol. 436, 2012.
Dedicated to the Applied Linear Algebra Conference held in Novi Sad in 2010.